Finite Group Databasebeta

← #34058721

Subgroups — #34058721

Order 19072.

1252 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23750339C211yesmaximal, characteristic, complemented
2#23750331C211yesmaximal, characteristic, complemented
3#23750328C211yesmaximal, characteristic, complemented
4#23750322C211yesmaximal, characteristic, complemented
5#23750320C212yesmaximal, complemented
6#23750295C211yesmaximal, characteristic, complemented
7#23750272C212yesmaximal, complemented
8#23750267C212yesmaximal, complemented
9#23750264C212yesmaximal, complemented
10#23750260C211yesmaximal, characteristic, complemented
11#23750259C211yesmaximal, characteristic, complemented
12#23750259C211yesmaximal, characteristic, complemented
13#23750226C211yesmaximal, characteristic, complemented
14#23750211C212yesmaximal, complemented
15#23750207C212yesmaximal, complemented
16#23750172C211yesmaximal, characteristic, complemented
17#23750153C211yesmaximal, characteristic, complemented
18#23750133C212yesmaximal, complemented
19#121×D149C212yesmaximal, complemented
20#23750099C211yesmaximal, characteristic, complemented
21#23750097C211yesmaximal, characteristic, complemented
22C4×D4×D149C211yesmaximal, characteristic, complemented
23#540×C149C211yesmaximal, characteristic, complemented
24C2×#14558736C2212yescomplemented
25C2×#14558735C2212yescomplemented
26C22×D596C2211yescharacteristic
27C2×D4×D149C2211yescharacteristic
28C2×D4×D149C2211yescharacteristic
29C2×D4×D149C2212yescomplemented
30C2×D4×D149C2212yescomplemented
31C2×D4×D149C2212yescomplemented
32C22×C4×D149C2212yescomplemented
33#18011910C2211yescharacteristic, complemented
34#18011907C2211yescharacteristic, complemented
35#18011907C2211yescharacteristic, complemented
36#18011906C2211yescharacteristic, complemented
37#18011906C2212yescomplemented
38#18011904C2211yescharacteristic, complemented
39#18011904C2212yescomplemented
40#18011902C2211yescharacteristic, complemented
41#18011901C2211yescharacteristic, complemented
42#18011898C2212yescomplemented
43#18011897C2211yescharacteristic, complemented
44#18011897C2212yescomplemented
45#18011897C2212yescomplemented
46#18011896C2211yescharacteristic, complemented
47#18011896C2212yescomplemented
48#18011894C2212yescomplemented
49#18011893C2211yescharacteristic, complemented
50#18011893C2212yescomplemented
51#18011892C2212yescomplemented
52#18011891C2212yescomplemented
53#18011889C2211yescharacteristic, complemented
54#18011889C2212yescomplemented
55#18011889C2212yescomplemented
56#18011886C2211yescharacteristic, complemented
57#18011886C2211yescharacteristic, complemented
58#18011886C2212yescomplemented
59#18011885C2212yescomplemented
60#18011884C2211yescharacteristic
61#18011884C2212yescomplemented
62#18011884C2212yescomplemented
63#18011884C2212yescomplemented
64#18011884C2212yescomplemented
65#18011883C2212yescomplemented
66#18011883C2212yescomplemented
67#18011883C2212yescomplemented
68#18011882C2211yescharacteristic, complemented
69#18011882C2212yescomplemented
70#18011882C2212yescomplemented
71#18011882C2211yescharacteristic, complemented
72#18011882C2212yescomplemented
73#18011881C2212yescomplemented
74#18011881C2212yescomplemented
75#18011879C2212yescomplemented
76#18011879C2212yescomplemented
77#18011879C2212yescomplemented
78#18011879C2212yescomplemented
79C4×Dic298C2211yescharacteristic, complemented
80C4×D596C2211yescharacteristic
81C4×D596C2211yescharacteristic
82C4×D596C2211yescharacteristic, complemented
83C4×D596C2211yescharacteristic, complemented
84C4×D596C2211yescharacteristic, complemented
85D4×Dic149C2211yescharacteristic, complemented
86D4×Dic149C2211yescharacteristic, complemented
87#18011873C2211yescharacteristic
88#18011873C2211yescharacteristic
89#18011873C2212yescomplemented
90#18011873C2212yescomplemented
91#18011873C2212yescomplemented
92C4×C22⋊D149C2211yescharacteristic, complemented
93C4×C22⋊D149C2211yescharacteristic, complemented
94C4×C22⋊D149C2212yescomplemented
95C4×C22⋊D149C2212yescomplemented
96C4×C22⋊D149C2212yescomplemented
97#18011871C2212yescomplemented
98#18011871C2212yescomplemented
99#18011871C2212yescomplemented
100#18011870C2211yescharacteristic, complemented
101#18011869C2211yescharacteristic, complemented
102#18011868C2211yescharacteristic, complemented
103#18011867C2212yescomplemented
104C4⋊C4×D149C2212yescomplemented
105C4⋊C4×D149C2211yescharacteristic, complemented
106C2×#14558713C2212yescomplemented
107C22⋊C4×D149C2212yescomplemented
108C22⋊C4×D149C2212yescomplemented
109C22⋊C4×D149C2212yescomplemented
110C22⋊C4×D149C2212yescomplemented
111C42×D149C2211yescharacteristic, complemented
112#127×C149C2211yescharacteristic, complemented
113#125×C149C2211yescharacteristic, complemented
114#123×C149C2212yescomplemented
115#123×C149C2212yescomplemented
116#121×C149C2212yescomplemented
117#121×C149C2211yescharacteristic, complemented
118#121×C149C2211yescharacteristic, complemented
119#121×C149C2212yescomplemented
120C4×D4×C149C2211yescharacteristic, complemented
121C4×D4×C149C2211yescharacteristic, complemented
122#117×C149C2211yescharacteristic, complemented
123C23×D149C2312yes—
124C23×D149C2312yes—
125C23×D149C2312yes—
126#14558736—44no—
127#14558735—44no—
128C2×Dic298C2311yescharacteristic
129C2×Dic298C2312yes—
130C2×D596—24no—
131C2×D596C2311yescharacteristic
132C2×D596C2311yescharacteristic
133C2×D596C2312yes—
134C2×D596C2312yes—
135C2×D596C2312yes—
136C2×D596C2311yescharacteristic
137C2×C22⋊D149C2312yes—
138C2×C22⋊D149C2312yes—
139C2×C22⋊D149C2312yes—
140C2×C22⋊D149C2311yescharacteristic
141C2×C22⋊D149C2311yescharacteristic
142C2×C22⋊D149C2312yes—
143C2×C22⋊D149C2312yes—
144C2×C22⋊D149C2312yes—
145C2×C22⋊D149C2312yes—
146C2×C22⋊D149C2312yes—
147D4×D149—24no—
148D4×D149—24no—
149D4×D149—44no—
150D4×D149—44no—
151D4×D149—44no—
152C22×Dic149C2312yes—
153C22×Dic149C2312yes—
154C2×C4×D149—44no—
155C2×C4×D149C2311yescharacteristic
156C2×C4×D149C2312yes—
157C2×C4×D149C2311yescharacteristic
158C2×C4×D149C2311yescharacteristic
159C2×C4×D149C2311yescharacteristic
160C2×C4×D149C2312yes—
161C2×C4×D149C2312yes—
162C2×C4×D149C2312yes—
163C2×C4×D149C2312yes—
164C2×C4×D149C2312yes—
165C2×C4×D149C2312yes—
166C4⋊Dic149C2311yescharacteristic
167C4⋊Dic149C2312yes—
168C4⋊Dic149C2311yescharacteristic
169C4⋊Dic149C2311yescharacteristic
170C4⋊Dic149C2311yescharacteristic
171#14558715C2311yescharacteristic
172#14558715C2312yes—
173#14558715C2311yescharacteristic
174#14558715C2311yescharacteristic
175#14558715C2312yes—
176#14558715C2311yescharacteristic
177#14558715C2311yescharacteristic
178#14558715C2311yescharacteristic
179#14558715C2312yes—
180C22⋊Dic149C2312yes—
181C22⋊Dic149C2311yescharacteristic
182C22⋊Dic149C2311yescharacteristic
183C22⋊Dic149C2312yes—
184C22⋊Dic149C2312yes—
185C22⋊Dic149C2312yes—
186C22⋊Dic149C2312yes—
187#14558713C2311yescharacteristic
188#14558713C2312yes—
189#14558713C2312yes—
190#14558713C2311yescharacteristic
191#14558713C2312yes—
192#14558713C2311yescharacteristic
193#14558713C2312yes—
194#14558713C2312yes—
195#14558713C2312yes—
196#14558713C2312yes—
197#14558713C2312yes—
198#14558713C2311yescharacteristic
199#14558713C2312yes—
200#14558713C2311yescharacteristic
201#14558713C2311yescharacteristic
202C4×Dic149C2311yescharacteristic
203C4×Dic149C2312yes—
204C4×Dic149C2312yes—
205C4×Dic149C2311yescharacteristic
206C4×Dic149C2311yescharacteristic
207C4×Dic149C2311yescharacteristic
208C2×D4×C149C2311yescharacteristic
209C2×D4×C149C2311yescharacteristic
210C2×D4×C149C2312yes—
211C2×D4×C149C2312yes—
212C2×D4×C149C2312yes—
213C2×D4×C149C2312yes—
214C22×C4×C149C2311yescharacteristic
215C22×C4×C149C2312yes—
216C22×C4×C149C2312yes—
217C4⋊C4×C149C2311yescharacteristic
218C4⋊C4×C149C2312yes—
219C4⋊C4×C149C2311yescharacteristic
220C4⋊C4×C149C2311yescharacteristic
221C4⋊C4×C149C2311yescharacteristic
222C4⋊C4×C149C2312yes—
223C22⋊C4×C149C2311yescharacteristic
224C22⋊C4×C149C2312yes—
225C22⋊C4×C149C2311yescharacteristic
226C22⋊C4×C149C2312yes—
227C22⋊C4×C149C2312yes—
228C22⋊C4×C149C2312yes—
229C42×C149C2311yescharacteristic
230C42×C149C2311yescharacteristic
231C22×D149—24no—
232C22×D149—24no—
233C22×D149—24no—
234C22×D149—24no—
235C22×D149—42no—
236C22×D149—42no—
237C22×D149—42no—
238C22×D149—42no—
239C22×D149—42no—
240C22×D149C2412yes—
241C22×D149C2411yescharacteristic
242C22×D149C2412yes—
243C22×D149C2411yescharacteristic
244Dic298—22no—
245Dic298—42no—
246D596—24no—
247D596—22no—
248D596—24no—
249D596—22no—
250D596—42no—
251D596#4114yescomplemented
252C22⋊D149—24no—
253C22⋊D149—24no—
254C22⋊D149—22no—
255C22⋊D149—24no—
256C22⋊D149—22no—
257C22⋊D149—24no—
258C22⋊D149—42no—
259C22⋊D149—42no—
260C22⋊D149—42no—
261C22⋊D149—42no—
262C2×Dic149—24no—
263C2×Dic149—42no—
264C2×Dic149C2412yes—
265C2×Dic149C2411yescharacteristic
266C2×Dic149C2412yes—
267C2×Dic149C2411yescharacteristic
268C2×Dic149C2411yescharacteristic
269C2×Dic149C2411yescharacteristic
270C2×Dic149C2411yescharacteristic
271C2×Dic149C2411yescharacteristic
272C4×D149—22no—
273C4×D149—22no—
274C4×D149—22no—
275C4×D149—22no—
276C4×D149—24no—
277C4×D149—42no—
278C4×D149—42no—
279C4×D149—42no—
280C4×D149—42no—
281C4×D149—42no—
282C4×D149—42no—
283C23×C149C2412yes—
284C23×C149C2412yes—
285C23×C149C2411yescharacteristic
286D4×C149—22no—
287D4×C149—22no—
288D4×C149—42no—
289D4×C149—42no—
290D4×C149—42no—
291D4×C149—42no—
292C2×C4×C149—22no—
293C2×C4×C149—42no—
294C2×C4×C149—42no—
295C2×C4×C149C2411yescharacteristic
296C2×C4×C149C2411yescharacteristic
297C2×C4×C149C2411yescharacteristic
298C2×C4×C149C2412yes—
299C2×C4×C149C2411yescharacteristic
300C2×C4×C149C2412yes—
301C2×C4×C149C2411yescharacteristic
302C2×C4×C149C2411yescharacteristic
303C22×C149—21no—
304C22×C149—22no—
305C22×C149—22no—
306C22×C149—22no—
307C22×C149—22no—
308C22×C149—22no—
309C22×C149—21no—
310C22×C149—21no—
311C22×C149—22no—
312C22×C149C2511yescharacteristic
313C2×D149—21no—
314C2×D149—21no—
315C2×D149—22no—
316C2×D149—22no—
317C2×D149—21no—
318C2×D149—22no—
319C2×D149—22no—
320C2×D149—22no—
321C2×D149—21no—
322C2×D149—21no—
323C2×D149—48no—
324C2×D149—84no—
325C2×D149—84no—
326C2×D149C2×#4114yes—
327C2×D149H(5,𝔽2)12yes—
328C4×C149—21no—
329C4×C149—21no—
330C4×C149—21no—
331C4×C149—22no—
332C4×C149—22no—
333C4×C149—21no—
334C4×C149—21no—
335C4×C149C2×#4112yes—
336Dic149—21no—
337Dic149—21no—
338Dic149—21no—
339Dic149—22no—
340Dic149—21no—
341Dic149—22no—
342Dic149—21no—
343Dic149H(5,𝔽2)12yes—
344C2×C149—42no—
345C2×C149—41no—
346C2×C149—42no—
347C2×C149C22×#4111yescharacteristic
348C2×C149C2×H(5,𝔽2)11yescharacteristic
349C2×C149C2×H(5,𝔽2)11yescharacteristic
350D149—22no—
351D149—24no—
352D149—42no—
353D149—41no—
354C149#351911yescharacteristic, complemented, Sylow
355#3519—1491nomaximal, Sylow
356#555—1491no—
357#554—1491no—
358#553—1491no—
359#553—1492no—
360#553—1491no—
361#550—1491no—
362#546—1492no—
363#546—1492no—
364#546—1492no—
365D42—1491no—
366D42—1491no—
367D42—1491no—
368#540—1491no—
369#540D14911yescharacteristic, complemented
370#538—1492no—
371#538—1492no—
372#532—1491no—
373#529—1491no—
374#525—1492no—
375C2×#121—1492no—
376#518—1491no—
377#518—1491no—
378C2×C4×D4—1491no—
379C2×#41—1492no—
380C2×#41—1492no—
381C22×D4—1491no—
382C22×D4—1491no—
383C22×D4—1492no—
384C22×D4—1492no—
385C22×D4—1492no—
386C22×D4—1491no—
387C23×C4—1492no—
388C4⋊Q8—1491no—
389#127—1491no—
390#127—1491no—
391#127C2×D14911yescharacteristic, complemented
392#126—1491no—
393#126—1492no—
394#126—1491no—
395#126—1492no—
396#125—1491no—
397#125—1491no—
398#125C2×D14911yescharacteristic, complemented
399#124—1492no—
400#124—1491no—
401#124—1492no—
402#124—1492no—
403#123—1492no—
404#123—1492no—
405#123—1491no—
406#123—1492no—
407#123—1491no—
408#123—1492no—
409#123C2×D14912yescomplemented
410#123C2×D14912yescomplemented
411C22⋊Q8—1491no—
412C22⋊Q8—1492no—
413C22⋊Q8—1492no—
414C22⋊Q8—1492no—
415#121—1492no—
416#121—1492no—
417#121—1492no—
418#121—1491no—
419#121—1492no—
420#121—1492no—
421#121—1492no—
422#121—1491no—
423#121—1492no—
424#121—1492no—
425#121—1491no—
426#121—1491no—
427#121—1491no—
428#121—1492no—
429#121—1492no—
430#121—1492no—
431#121—1492no—
432#121C2×D14912yescomplemented
433#121C2×D14911yescharacteristic, complemented
434#121C2×D14911yescharacteristic, complemented
435#121C2×D14912yescomplemented
436#120—1492no—
437#120—1492no—
438#120—1492no—
439#120—1492no—
440#120—1492no—
441#120—1492no—
442C4×Q8—1491no—
443C4×D4—1491no—
444C4×D4—1491no—
445C4×D4—1492no—
446C4×D4—1492no—
447C4×D4—1491no—
448C4×D4—1491no—
449C4×D4—1492no—
450C4×D4—1491no—
451C4×D4—1492no—
452C4×D4—1491no—
453C4×D4—1492no—
454C4×D4—1492no—
455C4×D4—1492no—
456C4×D4—1492no—
457C4×D4—1492no—
458C4×D4—1491no—
459C4×D4—1491no—
460C4×D4—1491no—
461C4×D4—1491no—
462C4×D4—1491no—
463C4×D4C2×D14911yescharacteristic, complemented
464C4×D4C2×D14911yescharacteristic, complemented
465#117—1491no—
466#117—1491no—
467#117—1492no—
468#117—1491no—
469#117C2×D14911yescharacteristic, complemented
470C2×C4⋊C4—1491no—
471C2×C4⋊C4—1492no—
472C2×C22⋊C4—1492no—
473C2×C22⋊C4—1492no—
474C2×C22⋊C4—1492no—
475C2×C22⋊C4—1492no—
476C2×C22⋊C4—1492no—
477C2×C42—1491no—
478C24—1492no—
479C24—1492no—
480C24—1492no—
481#41—5964no—
482#41—5964no—
483C2×Q8—1491no—
484C2×Q8—1492no—
485C2×D4—2984no—
486C2×D4—2984no—
487C2×D4—2984no—
488C2×D4—5964no—
489C2×D4—5964no—
490C2×D4—5964no—
491C2×D4—1492no—
492C2×D4—1492no—
493C2×D4—1492no—
494C2×D4—1491no—
495C2×D4—1491no—
496C2×D4—1492no—
497C2×D4—1492no—
498C2×D4—1492no—
499C2×D4—1492no—
500C2×D4—1492no—
501C2×D4—1492no—
502C2×D4—1491no—
503C2×D4—1492no—
504C2×D4—1491no—
505C2×D4—1492no—
506C2×D4—1491no—
507C2×D4C22×D14911yescharacteristic
508C2×D4C22×D14911yescharacteristic
509C2×D4C22×D14912yes—
510C2×D4C22×D14912yes—
511C2×D4C22×D14912yes—
512C2×D4C22×D14912yes—
513C22×C4—5964no—
514C22×C4—1492no—
515C22×C4—1491no—
516C22×C4—1491no—
517C22×C4—1491no—
518C22×C4—1492no—
519C22×C4—1491no—
520C22×C4—1492no—
521C22×C4—1492no—
522C22×C4—1492no—
523C22×C4—1492no—
524C22×C4—1492no—
525C22×C4—1492no—
526C22×C4—1492no—
527C22×C4C22×D14911yescharacteristic
528C22×C4C22×D14912yes—
529C22×C4C22×D14912yes—
530C4⋊C4—1491no—
531C4⋊C4—1491no—
532C4⋊C4—1492no—
533C4⋊C4—1492no—
534C4⋊C4—1492no—
535C4⋊C4—1491no—
536C4⋊C4—1491no—
537C4⋊C4—1491no—
538C4⋊C4—1491no—
539C4⋊C4—1491no—
540C4⋊C4—1491no—
541C4⋊C4—1492no—
542C4⋊C4—1491no—
543C4⋊C4—1491no—
544C4⋊C4C22×D14911yescharacteristic
545C4⋊C4C22×D14912yes—
546C4⋊C4C22×D14911yescharacteristic
547C4⋊C4C22×D14911yescharacteristic
548C4⋊C4C22×D14911yescharacteristic
549C4⋊C4C22×D14912yes—
550C22⋊C4—1492no—
551C22⋊C4—1492no—
552C22⋊C4—1492no—
553C22⋊C4—1492no—
554C22⋊C4—1491no—
555C22⋊C4—1491no—
556C22⋊C4—1492no—
557C22⋊C4—1492no—
558C22⋊C4—1491no—
559C22⋊C4—1492no—
560C22⋊C4—1491no—
561C22⋊C4—1492no—
562C22⋊C4—1492no—
563C22⋊C4—1492no—
564C22⋊C4—1492no—
565C22⋊C4—1492no—
566C22⋊C4—1491no—
567C22⋊C4—1491no—
568C22⋊C4—1491no—
569C22⋊C4—1491no—
570C22⋊C4—1492no—
571C22⋊C4—1492no—
572C22⋊C4C22×D14911yescharacteristic
573C22⋊C4C22×D14911yescharacteristic
574C22⋊C4C22×D14912yes—
575C22⋊C4C22×D14912yes—
576C22⋊C4C22×D14912yes—
577C22⋊C4C22×D14912yes—
578C42—1491no—
579C42—1491no—
580C42—1491no—
581C42—1492no—
582C42—1492no—
583C42—1491no—
584C42C22×D14911yescharacteristic
585C42C22×D14911yescharacteristic
586C23—2984no—
587C23—2984no—
588C23—2984no—
589C23—2984no—
590C23—5962no—
591C23—5962no—
592C23—5962no—
593C23—5962no—
594C23—5962no—
595C23—1491no—
596C23—1492no—
597C23—1492no—
598C23—1491no—
599C23C23×D14911yescharacteristic
600C23C23×D14912yes—
601C23C23×D14912yes—
602Q8—2982no—
603Q8—5962no—
604D4—22no—
605D4—22no—
606D4—42no—
607D4—42no—
608D4—42no—
609D4—42no—
610D4—2984no—
611D4—2982no—
612D4—2984no—
613D4—2984no—
614D4—2984no—
615D4—2982no—
616D4—2984no—
617D4—2982no—
618D4—2984no—
619D4—2982no—
620D4—5962no—
621D4—5962no—
622D4—5962no—
623D4—5962no—
624D4—5962no—
625D4—1494no—
626C2×C4—22no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—2982no—
630C2×C4—2982no—
631C2×C4—2984no—
632C2×C4—2984no—
633C2×C4—2982no—
634C2×C4—2982no—
635C2×C4—5962no—
636C2×C4—5962no—
637C2×C4—5962no—
638C2×C4—5962no—
639C2×C4—5962no—
640C2×C4—5962no—
641C2×C4—5962no—
642C2×C4—1491no—
643C2×C4—1491no—
644C2×C4—1492no—
645C2×C4—1491no—
646C2×C4—1492no—
647C2×C4—1491no—
648C2×C4—1491no—
649C2×C4—1491no—
650C2×C4C23×D14911yescharacteristic
651C2×C4C23×D14911yescharacteristic
652C2×C4C23×D14911yescharacteristic
653C2×C4C23×D14912yes—
654C2×C4C23×D14911yescharacteristic
655C2×C4C23×D14911yescharacteristic
656C2×C4C23×D14912yes—
657C2×C4C23×D14911yescharacteristic
658C22—21no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—21no—
665C22—21no—
666C22—22no—
667C22—2981no—
668C22—2981no—
669C22—2982no—
670C22—2982no—
671C22—2981no—
672C22—2982no—
673C22—2982no—
674C22—2982no—
675C22—2981no—
676C22—2981no—
677C22—5968no—
678C22—1494no—
679C22—1492no—
680C22—11924no—
681C22—11924no—
682C22C24×D14911yescharacteristic
683C4—21no—
684C4—21no—
685C4—21no—
686C4—22no—
687C4—22no—
688C4—21no—
689C4—21no—
690C4—2981no—
691C4—2981no—
692C4—2982no—
693C4—2981no—
694C4—2981no—
695C4—2982no—
696C4—2981no—
697C4—1492no—
698C4#41×D14912yes—
699C2—42no—
700C2—41no—
701C2—42no—
702C2—2982no—
703C2—2984no—
704C2—5961no—
705C2—5962no—
706C2C2×#41×D14911yescharacteristic
707C2H(5,𝔽2)×D14911yescharacteristic
708C2H(5,𝔽2)×D14911yescharacteristic
subgroupG/H
center, FrattiniC22C24×D149
commutator, socle, cosocleC22×C149C25
Fitting#540×C149C2
hypercenter#540D149
hypocenterC149#3519
LCSG ▷ C22×C149 ▷ C149
UCSC1 ◁ C22 ◁ #540

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #23750339C2semidirect
2. #23750331C2semidirect
3. #23750328C2semidirect
4. #23750322C2semidirect
5. #23750320C2semidirect
6. #23750295C2semidirect
7. #23750272C2semidirect
8. #23750267C2semidirect
9. #23750264C2semidirect
10. #23750260C2semidirect
11. #23750259C2semidirect
12. #23750259C2semidirect
13. #23750226C2semidirect
14. #23750211C2semidirect
15. #23750207C2semidirect
16. #23750172C2semidirect
17. #23750153C2semidirect
18. #23750133C2semidirect
19. #121×D149C2semidirect
20. #23750099C2semidirect
21. #23750097C2semidirect
22. C4×D4×D149C2semidirect
23. #540×C149C2semidirect
24. C2×#14558736C22semidirect
25. C2×#14558735C22semidirect
29. C2×D4×D149C22semidirect
30. C2×D4×D149C22semidirect
31. C2×D4×D149C22semidirect
32. C22×C4×D149C22semidirect
33. #18011910C22semidirect
34. #18011907C22semidirect
35. #18011907C22semidirect
36. #18011906C22semidirect
37. #18011906C22semidirect
38. #18011904C22semidirect
39. #18011904C22semidirect
40. #18011902C22semidirect
41. #18011901C22semidirect
42. #18011898C22semidirect
43. #18011897C22semidirect
44. #18011897C22semidirect
45. #18011897C22semidirect
46. #18011896C22semidirect
47. #18011896C22semidirect
48. #18011894C22semidirect
49. #18011893C22semidirect
50. #18011893C22semidirect
51. #18011892C22semidirect
52. #18011891C22semidirect
53. #18011889C22semidirect
54. #18011889C22semidirect
55. #18011889C22semidirect
56. #18011886C22semidirect
57. #18011886C22semidirect
58. #18011886C22semidirect
59. #18011885C22semidirect
61. #18011884C22semidirect
62. #18011884C22semidirect
63. #18011884C22semidirect
64. #18011884C22semidirect
65. #18011883C22semidirect
66. #18011883C22semidirect
67. #18011883C22semidirect
68. #18011882C22semidirect
69. #18011882C22semidirect
70. #18011882C22semidirect
71. #18011882C22semidirect
72. #18011882C22semidirect
73. #18011881C22semidirect
74. #18011881C22semidirect
75. #18011879C22semidirect
76. #18011879C22semidirect
77. #18011879C22semidirect
78. #18011879C22semidirect
79. C4×Dic298C22semidirect
82. C4×D596C22semidirect
83. C4×D596C22semidirect
84. C4×D596C22semidirect
85. D4×Dic149C22semidirect
86. D4×Dic149C22semidirect
89. #18011873C22semidirect
90. #18011873C22semidirect
91. #18011873C22semidirect
92. C4×C22⋊D149C22semidirect
93. C4×C22⋊D149C22semidirect
94. C4×C22⋊D149C22semidirect
95. C4×C22⋊D149C22semidirect
96. C4×C22⋊D149C22semidirect
97. #18011871C22semidirect
98. #18011871C22semidirect
99. #18011871C22semidirect
100. #18011870C22semidirect
101. #18011869C22semidirect
102. #18011868C22semidirect
103. #18011867C22semidirect
104. C4⋊C4×D149C22semidirect
105. C4⋊C4×D149C22semidirect
106. C2×#14558713C22semidirect
107. C22⋊C4×D149C22semidirect
108. C22⋊C4×D149C22semidirect
109. C22⋊C4×D149C22semidirect
110. C22⋊C4×D149C22semidirect
111. C42×D149C22semidirect
112. #127×C149C22semidirect
113. #125×C149C22semidirect
114. #123×C149C22semidirect
115. #123×C149C22semidirect
116. #121×C149C22semidirect
117. #121×C149C22semidirect
118. #121×C149C22semidirect
119. #121×C149C22semidirect
120. C4×D4×C149C22semidirect
121. C4×D4×C149C22semidirect
122. #117×C149C22semidirect
251. D596#41semidirect
354. C149#3519semidirect
369. #540D149semidirect
391. #127C2×D149semidirect
398. #125C2×D149semidirect
409. #123C2×D149semidirect
410. #123C2×D149semidirect
432. #121C2×D149semidirect
433. #121C2×D149semidirect
434. #121C2×D149semidirect
435. #121C2×D149semidirect
463. C4×D4C2×D149semidirect
464. C4×D4C2×D149semidirect
469. #117C2×D149semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#237503392
#237503312
#237503282
#237503222
#237503202
#237502952
#237502722
#237502672
#237502642
#237502602
#237502592
#237502262
#237502112
#237502072
#237501722
#237501532
#237501332
#121×D1492
#237500992
#237500972
C4×D4×D1492
#540×C1492
#3519149